Extremal t-intersecting families for direct products

被引：0
|
作者：
Yao, Tian [1 ,2 ]
Lv, Benjian [1 ]
Wang, Kaishun [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源：
DISCRETE MATHEMATICS | 2022年 / 345卷 / 11期
基金：
国家重点研发计划;
关键词：
Erdos-Ko-Rado theorem; Direct products; t -intersecting families; Cross t -intersecting families; Shifting technique; KO-RADO THEOREM; SYSTEMS;
D O I：
10.1016/j.disc.2022.113026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by shifting technique we study t-intersecting families for direct products where the ground set is divided into several parts. Assuming the size of each part is sufficiently large, we determine all extremal t-intersecting families for direct products. We also prove that every largest t-intersecting subfamily of a more general family introduced by Katona is trivial under certain conditions. (c) 2022 Elsevier B.V. All rights reserved.
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页数：9
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